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X/2 - 1/5 = x/3 + 1/4

User Wardw
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1 Answer

6 votes

Answer:

x = 27/10

Explanation:

x/2 - 1/5 = x/3 + 1/4

To get rid of the denominators, we multiply both sides of the equation by the LCD.

The LCD of 2, 3, 4, and 5 is 2 × 3 × 2 × 5 = 60.

60(x/2 - 1/5) = 60(x/3 + 1/4)

60 × x/2 - 60 × 1/5 = 60 × x/3 + 60 × 1/4

30x - 12 = 20x + 15

Subtract 20x from both sides.

10x - 12 = 15

Add 12 to both sides.

10x = 27

Divide both sides by 10.

x = 27/10

User Ericg
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